Problem 15 · 2013 Math Kangaroo
Medium
Algebra & Patterns
substitution
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Answer: A
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Hint 1 of 2
Find where the function is zero and how it behaves at each zero.
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Hint 2 of 2
A squared factor makes the curve touch the axis; the simple factor makes it cross.
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Approach: read roots and end behaviour
- f(x) = (a−x)(b−x)² is zero at x=a (simple, crosses) and x=b (double, touches).
- With a
- The graph crossing at the left zero and just touching the axis at the right is A.
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